Commensurations of Aut(FN) and Its Torelli Subgroup

For N ≥3, the abstract commensurators of both Aut( F N ) and its Torelli subgroup IA N are isomorphic to Aut( F N ) itself.

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Bibliographic Details
Published inGeometric and functional analysis Vol. 34; no. 5; pp. 1310 - 1336
Main Authors Bridson, Martin R., Wade, Richard D.
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 2024
Springer Nature B.V
Subjects
Analysis
Mathematics
Mathematics and Statistics
Subgroups
20F65
Free factor complex
57M07
Automorphism groups of free groups
20E05
20E36
Abstract commensurator
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Summary:For N ≥3, the abstract commensurators of both Aut( F N ) and its Torelli subgroup IA N are isomorphic to Aut( F N ) itself.
ISSN:1016-443X
1420-8970
DOI:10.1007/s00039-024-00681-y